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Question
๐(๐ฅ)=2๐ฅ3+3๐ฅ2โ7๐ฅ+2f(x)=2x 3 +3x 2 โ7x+2๐(๐ฅ)=2๐ฅโ5g(x)=2xโ5Find (๐+๐)(๐ฅ)(f+g)(x).A.(๐+๐)(๐ฅ)=2๐ฅ3+3๐ฅ2+5๐ฅ+3(f+g)(x)=2x 3 +3x 2 +5x+3B.(๐+๐)(๐ฅ)=2๐ฅ3+3๐ฅ2โ5๐ฅโ3(f+g)(x)=2x 3 +3x 2 โ5xโ3C.(๐+๐)(๐ฅ)=2๐ฅ3+3๐ฅ2โ5๐ฅ+3(f+g)(x)=2x 3 +3x 2 โ5x+3D.(๐+๐)(๐ฅ)=2๐ฅ3+3๐ฅ2+5๐ฅโ3(f+g)(x)=2x 3 +3x 2 +5xโ3SUBMITarrow_backPREVIOUS
Solution
The function (f+g)(x) is found by adding the functions f(x) and g(x) together.
The function f(x) is given as 2x^3 + 3x^2 - 7x + 2. The function g(x) is given as 2x - 5.
To find (f+g)(x), we add these two functions together:
(f+g)(x) = (2x^3 + 3x^2 - 7x + 2) + (2x - 5) = 2x^3 + 3x^2 - 7x + 2x + 2 - 5 = 2x^3 + 3x^2 - 5x - 3
So, the correct answer is B. (f+g)(x) = 2x^3 + 3x^2 - 5x - 3.
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